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arXiv · 1712.06328

Homogeneous Finsler spaces with some special $(α, β)$-metrics

Gauree Shanker·Kirandeep Kaur
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Abstract

In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series $(α, β)$-metric and exponential metric. Next, we deduce an explicit formula for the the $S$-curvature of homogeneous Finsler space with these metrics. Using this formula, we further derive the formula for mean Berwald curvature of the homogeneous Finsler space with the above mentioned metrics.

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Gauree Shanker, Kirandeep Kaur. 2017-12-28. Homogeneous Finsler spaces with some special $(α, β)$-metrics. https://arxiv.org/abs/1712.06328

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